Francisco Gancedo. Curriculum Vitae (November 2017) Analysis, partial differential equations and fluid mechanics

Transcription

1 Francisco Gancedo Curriculum Vitae (November 2017) Contact details Departamento de Análisis Matemático Universidad de Sevilla C/ Tarfia s/n, Campus Reina Mercedes 41012, Sevilla, Spain Phone: Fax: Web page: Personal data Born: October 11th, 1980 Citizenship: Spanish Research interests Education Analysis, partial differential equations and fluid mechanics Universidad de Sevilla, Seville, Spain Bachelor s Degree, July 2003 Mathematics Universidad Autónoma de Madrid, Madrid, Spain Ph.D., June 2007 Mathematics Thesis adviser: Diego Córdoba (ICMAT-CSIC) Positions L.E. Dickson Instructor September 2007-August 2011 University of Chicago, Chicago, USA Ramón y Cajal Assistant Professor September 2011-August 2016 University of Seville, Seville, Spain Member of the Instituto de Matemáticas IMUS, University of Seville, Seville, Spain Honorary Doctor Vinculado ICMAT-CSIC, Spain September 2011-current April 2014-current 1

2 ERC Starting Grant Researcher University of Seville (European Research Council) Associate Professor University of Seville September 2015-current September 2016-current List of publications 1. Contour dynamics of incompressible 3-D fluids in a porous medium with different densities, with D. Córdoba. Comm. Math. Phys., 273, , Analytical behavior of 2D incompressible flow in porous media, with D. Córdoba and R. Orive. J. Math. Phys., 48, 6, Special Issue Mathematical Fluid Dynamics 3. Existence for the α-patch model and the QG sharp front in Sobolev spaces. Adv. Math., 217, , A maximum principle for the Muskat problem for fluids with different densities, with D. Córdoba. Comm. Math. Phys., 286, , A note on the interface dynamics for convection in porous media, with D. Córdoba and R. Orive. Physica D, 237, , Incompressible flow in porous media with fractional diffusion, with A. Castro, D. Córdoba and R. Orive. Nonlinearity, 22, , The Rayleigh-Taylor condition for the evolution of irrotational fluid interfaces, with A. Córdoba and D. Córdoba. Proc. Natl. Acad. Sci., 106, no. 27, , Interface evolution: the Hele-Shaw and Muskat problems, with A. Córdoba and D. Córdoba. Annals of Math., 173, no. 1, , Interface evolution: water waves in 2-D, with A. Córdoba and D. Córdoba. Adv. Math., 223, , Contour dynamics for 2D active scalars, with D. Córdoba. Eur. Math. Soc. Newsl., no. 71, 2528, Absence of squirt singularities for the multi-phase Muskat problem, with D. Córdoba. Comm. Math. Phys., 299, , Lack of uniqueness for weak solutions of the incompressible porous media equation, with D. Córdoba and D. Faraco. Arch. Ration. Mech. Anal., 200, , A naive parametrization for the vortex sheets problem, with A. Castro and D. Córdoba. Mathematical Aspects of Fluid Mechanics, Cambridge University Press, , Singularity formation in a surface wave model, with A. Castro and D. Córdoba. Nonlinearity, 23, ,

3 15. Porous media: the Muskat problem in 3D, with A. Córdoba and D. Córdoba. Analysis & PDE, 6, no. 2, , On the global existence for the Muskat problem, with P. Constantin, D. Córdoba and R.M. Strain. J. Eur. Math. Soc., 15, , Some recent results on the Muskat problem, with A. Castro and D. Córdoba. Journées Équations aux Dérivées Partielles Turning waves and breakdown for incompressible flows, with A. Castro, D. Córdoba, C. Fefferman and M. López-Fernández. Proc. Natl. Acad. Sci. 108, no. 12, , Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves, with A. Castro, D. Córdoba, C. Fefferman and M. López-Fernández. Annals of Math., 175, no. 2, , Generalized surface quasi-geostrophic equations with singular velocities, with D. Chae, P. Constantin, D. Córdoba and J. Wu. Comm. Pure Appl. Math., 65, no. 8, , Breakdown of smoothness for the Muskat problem, with A. Castro, D. Córdoba and C. Fefferman. Arch. Ration. Mech. Anal., 208, no. 3, , Splash singularity for water waves, with A. Castro, D. Córdoba, C. Fefferman and J. Gómez-Serrano. Proc. Natl. Acad. Sci., 109, no. 3, , Finite time singularities for the free boundary incompressible Euler equations, with A. Castro, D. Córdoba, C. Fefferman and J. Gómez-Serrano. Annals of Math, 178, no. 3, , On a singular incompressible porous media equation, with S. Friedlander, W. Sun and V. Vicol. J. Math. Phys., 53, , Special Issue Incompressible Fluids, Turbulence and Mixing 25. Finite time singularities for water waves with surface tension, with A. Castro, D. Córdoba, C. Fefferman and J. Gómez-Serrano. J. Math. Phys., 53, , Special Issue Incompressible Fluids, Turbulence and Mixing 26. Absence of splash singularities for SQG sharp fronts and the Muskat problem, with R. M. Strain. Proc. Natl. Acad. Sci., 111, no. 2, , On the Muskat problem: global in time results in 2D and 3D, with P. Constantin, D. Córdoba, L. Rodríguez-Piazza and R.M. Strain. Amer. J. Math., 138, no. 6, , Splash singularities for the one-phase Muskat problem in stable regimes, with A. Castro, D. Córdoba and C. Fefferman. Arch. Ration. Mech. Anal., 222, no. 1, , Structural stability for the splash singularities of the water waves problem, with A. Castro, D. Córdoba, C. Fefferman and J. Gómez-Serrano. DCDS-A 34, no. 12, ,

4 Grants 30. Splash singularities for the free boundary Navier-Stokes equations, with A. Castro, D. Córdoba, C. Fefferman and J. Gómez-Serrano. Submitted, arxiv: , Global regularity for 2D Muskat equations with finite slope, with P. Constantin, R. Shvydkoy y V. Vicol. Ann. Inst. H. Poincar Anal. Non Linaire, 34, no. 4, , A survey for the Muskat problem and a new estimate. SeMA Journal, 74, no. 1, 21-35, Uniqueness for SQG patch solutions, with A. Córdoba y D. Córdoba. To appear in Trans. Amer. Math. Soc., arxiv: , Global regularity for 2D Boussinesq temperature patches with no diffusion, with E. García-Juárez. Annals of PDEs, 3: 14, Global regularity of 2D density patches for inhomogeneous Navier-Stokes, with E. García-Juárez. Submitted, arxiv: , On the Muskat problem with viscosity jump: global in time results, with E. García-Juárez, N. Patel and R.M. Strain. Submitted, arxiv: , 2017 MCYT research grant BFM Government of Spain Castilla-La Mancha research grant PAC Junta de Castilla-La Mancha, Spain MEC research grant MTM Government of Spain European Research Council grant ERC-2007-StG CDSIF Consolider i-math research grant C Comunidad de Madrid, Spain MICINN research grant MTM Government of Spain NSF research grant (as Principal Investigator) DMS MICINN research grant MTM Government of Spain Andalucía research grant (as Principal Investigator) P12-FQM-2466, Junta de Andalucía, Spain European Research Council grant (as Principal Investigator) ERC Starting Grant Fluid-Interface

5 Seminars MEC research grant MTM P Government of Spain CSIC, Madrid, Spain February 2006 Universidad Autónoma de Madrid, Madrid, Spain April 2007 University of Chicago, Chicago, USA November 2007 University of Minnesota, Minneapolis, USA October 2008 CSIC, Madrid, Spain December 2008 University of Illinois at Chicago, Chicago, USA February 2009 University of Chicago, Chicago, USA March 2009 University of Illinois at Urbana-Champaign, Urbana, USA October 2009 University of Pennsylvania, Philadelphia, USA January 2010 Michigan State University, East Lansing, USA April 2010 Basque Center for Applied Mathematics, Bilbao, Spain October 2010 Universitat Autònoma de Barcelona, Barcelona, Spain November 2010 University of Illinois at Chicago, Chicago, USA January 2011 University of Pennsylvania, Philadelphia, USA February 2011 University of Zurich, Zurich, Switzerland December 2011 Real Academia Sevillana de Ciencias, Seville, Spain February 2013 ICMAT-CSIC, Madrid, Spain March 2013 Universidad de Granada, Granada, Spain November 2013 IEMath-Granada, Granada, Spain April 2016 University of California, Davis, USA May 2016 Universidad de Valencia, Valencia, Spain November 2016 Princeton University, Princeton, USA March 2017 Centre for Interdisciplinary Mathematics March 2017 Uppsala University, Sweden Warwick University, Coventry, England November 2017 Conference talks Las EDPs como herramienta: modelización, análisis April 2007 y simulación, Castro Urdiales, Spain Workshop on the Euler equations, Suwon, Korea May

6 Optimal Transportation, and Applications to July 2007 Geophysics and Geometry, Edinburgh, UK Mathematical Modelling and Numerical Simulation in July 2008 Science and Technology, Castro Urdiales, Spain Navier-Stokes equations: Classical and generalized September 2008 models, Pisa, Italy The 3D Euler and 2D SQG equations, American Institute April 2009 of Mathematics, Palo Alto, California, USA Workshop on Non-Local Equations, Leganés, Spain June 2009 Intensive School on modeling, simulation and numerical July 2009 analysis of complex fluids, Seville, Spain VIII Americas Conference on Differential Equations October 2009 Veracruz, Mexico The First Oklahoma PDE Workshop November 2009 Stillwater, Oklahoma, USA SIAM Conference on Analysis of PDEs December 2009 Miami, Florida, USA Harmonic Analysis and Applications in honor of June 2010 Richard Wheeden. Sevilla, Spain Nonlinear Waves-Theory and Applications June 2010 Beijing, China I Spanish Young Researchers Meeting in Mathematics September 2010 Sevilla, Spain Centennial Congress of the RSME February 2011 Ávila, Spain International Conference on PDEs Modeling Fluids June 2011 Peter Constantin 60th s birthday, Xi an, China SIAM Conference on Analysis of PDEs November 2011 San Diego, California, USA II Joint Meeting RSME-SMM January 2012 Torremolinos, Spain Mathematical Aspects of Hydrodynamics August 2012 Mathematisches Forschungsinstitut Oberwolfach, Germany Harmonic Analysis, PDEs and Geometry May 2013 Madrid, Spain The Fourth Oklahoma PDE Workshop October 2013 Stillwater, Oklahoma, USA SIAM Conference on Analysis of PDEs December 2013 Lake Buena Vista, Florida, USA 6

7 Free Boundaries and Moving Interfaces Workshop February 2014 Oxford, England, UK X Encuentro de la Red de Análisis Funcional March 2014 Sevilla, Spain 10th AIMS Conference on Dynamical Systems, Differential July 2014 Equations and Applications, Madrid, Spain XVI Jacques-Louis Lions Spanish-French School September 2014 Pamplona, Spain ICMAT-China Exploratory Workshop November 2014 Section: Fluid Dynamics, Madrid, Spain Free surface and geophysical flows January 2015 Rennes, France XXIV Congreso de Ecuaciones Diferenciales y Aplicaciones June 2015 / XIV Congreso de Matemática Aplicada, Cádiz, Spain Espalia, PDEs and Calculus of Variations between Italy June 2015 and Spain, Sapienza, Universita di Rome, Rome, Italy Mathematics & Physics. Mathematical modeling in Physics: July 2015 Two way street, Sevilla, Spain Bilbao meeting of Analysis and PDEs May 2016 BCAM, Bilbao, Espaa V Congreso Latinoamericano de Matemáticas July 2016 Universidad del Norte, Barranquilla, Colombia Spanish-French Workshop on Analysis of PDEs September 2016 from Fluid Mechanics, Madrid, Spain ERC and Mathematics in Spain March 2017 ICMAT, Madrid, Spain Mathematical Analysis of Water Waves and Related Models June 2017 Bodega Marine Laboratory, Bodega Bay, California, USA Meeting of the Catalan, Spanish and Swedish Math Societies June 2017 Umea University, Umea, Sweden X Anniversary Instituto de Matemticas de la October 2017 Universidad de Sevilla, Sevilla, Spain Fellowships and awards High school award from the Government of Spain (1998) Introduction to Research summer scholarship from the CSIC (July and September 2002) Colaboración scholarship from the Government of Spain (September 2002-July 2003) 7

8 Realización de curso de lengua inglesa en el extranjero summer scholarship from the Government of Spain (July-August 2003) Tercer Ciclo master scholarship from the Universidad Autónoma de Madrid (October-December 2003) Formación de Personal Universitario Ph.D. scholarship from the Government of Spain (February 2004-August 2007) José Luis Rubio de Francia Prize from the Real Sociedad Matemática Española (2008) Premio Extraordinario de Doctorado. Intended to recognize outstanding graduate students in Mathematics in Universidad Autónoma de Madrid (2010) Real Maestranza de Caballería de Sevilla Prize from the Real Maestranza de Caballería de Sevilla and the Real Academia Sevillana de Ciencias (2011) VI Andaluces del Futuro Prize in Science from the Grupo Joly-Bankia (2013) XVII Antonio Valle Prize from the Sociedad Española de Matemática Aplicada SeMA (2014) Visits Princeton University, Princeton, New Jersey October-November 2006 Host: Charles Fefferman CSIC, Madrid, Spain July-Sept and 2009, Sept.-December 2010 Host: Diego Córdoba University of Pennsylvania, Philadelphia several visits during Host: Robert M. Strain Princeton University, Princeton, New Jersey July 2013 Host: Peter Constantin University of Illinois at Chicago, Chicago July-August 2013, July 2016 Host: Roman Shvydkoy Princeton University, Princeton May-June 2014 Host: Javier Gómez-Serrano Princeton University, Princeton July 2016 Host: Vlad Vicol Warwick University, Coventry, England January-February 2017 Host: Jos Luis Rodrigo Conference organization Calculus of Variations, Singular Integrals and Incompressible Flows Trimester. Madrid, September-December Role: Member of the Organizing Committee 8

9 Real Sociedad Matemática Española Young Researcher Conferences. Universidad de Valladolid, September 2011 and Universidad de Sevilla, September Role: Member of the Scientific Committee Fluid Mechanics & Singular Integrals Workshop. IMUS, Universidad de Sevilla, June Role: Member of the Scientific Committee Analysis of Incompressible Fluids Summer School. ICMAT-CSIC, Madrid, June Role: Member of the Scientific Committee Fluid Mechanics Special Session at the Mathematical Congress of the Americas. Guanajuato, Mexico, August Role: Member of the Scientific Committee Special session at 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Madrid, Spain, July Role: Member of the Scientific Committee Real Sociedad Matemática Española Biennial Conference. January Role: Member of the Scientific Committee Teaching experience Zaragoza, Spain, Mini course on Fluid Mechanics May 2005 Universidad Autónoma de Madrid, Madrid, Spain Seminar on Mathematics in the CSIC February 2006 Department of Mathematics, CSIC, Madrid, Spain Instructor at the University of Chicago: Honors Calculus, part I Autumn 2007 and 2008 Honors Calculus, part II Winter 2008 and 2009 Honors Calculus, part III Spring 2008 and 2009 Mathematical Methods for Social Science Spring 2008 Analysis in R n, part I Autumn 2009 Analysis in R n, part II Winter 2009 and 2010, Spring 2011 Introduction to Analysis and Linear Algebra Autumn 2009 Assistant Professor at the University of Seville: Mathematical Analysis of Fluid Mechanics Nov March 2012 Graduate course at IMUS Mathematics (for Physical Sci.) 1st Term, 12/13, 13/14, 14/15 and 15/16 Complex Variable 2nd Term, 2012/13 and 13/14 Functions of Complex Variable 1st Term 15/16 Associate Professor at the University of Seville: Calculus 1st and 2nd Term 16/17 Bachelor s Theses: Modeling and Properties of Euler and Navier-Stokes equations. Author: Eduardo García-Juárez. Grade: Outstanding Cum Laude, 2013/14 9

10 Explicit Solutions of fluids equations and consequences. Author: Manuel Garzón Martínez. Grade: A, 2016/17 IMPAN Lectures on the Muskat problem, May 2015 Graduate Course, IMPAN, Warsaw, Poland Other Referee for Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis, Nonlinearity, Journal of Mathematical Analysis and Applications, Nonlinear Analysis: Theory, Methods & Applications, Journal of the European Mathematical Society, Nonlinear Analysis: Real World Applications, Revista Matemática Iberoamericana, Annales de l Institut Henri Poincare (C) -Analyse non lineaire, SIAM Journal on Mathematical Analysis, Duke Mathematical Journal, Journal of the American Mathematical Society and Analysis & PDE 10